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Oblique Pyramid Construction Demo

Oblique Pyramid Construction Demo
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2016-12-08 14:58
PolygonCoordinate GeometrySolid GeometryGeometric Construction
This example demonstrates the geometric construction and visualization of an oblique pyramid. It involves core math concepts like solid geometry, polygons, vectors, and coordinate geometry. Construction highlights include using GeoGebra commands such as Point, Cube, Intersect, Pyramid, Circle, and Polygon to create the pyramid, faces, and edges. Suitable for high school geometry teaching and construction practice.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Point(xAxis) → B
  3. Point(Circle[B, Distance[A, B], Segment[A, B]]) → C
  4. Cube(A, B, C) → a, D, faceCDHG, faceEFGH, edgeAD, edgeAB, edgeBC, edgeCD, edgeAE, edgeDH_1, edgeEH, edgeEF, E, edgeBF, edgeFG, edgeCG, edgeGH, F, G, H, faceABCD, faceADHE, faceABFE, faceBCGF
  5. Intersect(edgeEH, edgeDH_1) → I
  6. Pyramid(faceABCD, H) → b, faceADH, faceABH, faceBCH, faceCDH, edgeDH, edgeAH, edgeBH, edgeCH
  7. Circle(edgeBC, H) → c
  8. Point(c) → J
  9. Polygon(J, C, B) → poly1, b_1, j, c_1